TECHNICAL PAPERS
Sep 27, 2010

Study on the Heterogeneity of Concrete and Its Failure Behavior Using the Equivalent Probabilistic Model

Publication: Journal of Materials in Civil Engineering
Volume 23, Issue 4

Abstract

Taking the heterogeneity character of concrete into account, this paper presents an equivalent probabilistic model for failure study of concrete in which the heterogeneity of concrete is considered by assuming that the material properties conform to the Weibull distribution law and by using mesoscale mesh of finite elements. The study is divided into three parts. In the first part, a spatial correlation length factor is developed into the Weibull distribution formula so that the spatial correlation of local continuity of material properties can be considered. The second part presents a series of numerical analyses for investigating the size effect of self-compacting concrete (SCC) based on the equivalent probabilistic model, and a comparison is made between the simulation results and compression test measurements for illustrating the size effect on uniaxial compression strength and failure pattern of the SCC concerned. It is shown that the numerical model can provide reasonable predictions in the analysis of the size effect of SCC. In the final part, as an engineering application of the presented model, the damage and fracture behavior of the Koyna gravity dam during the 1967 earthquake are analyzed. Influences of concrete parameters on the crack pattern and failure modes of the dam prototype during the event are discussed.

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Acknowledgments

This research investigation was supported by the National Natural Science Foundation of China under Grant No. NNSFC90510018 and NNSFC90715041 and the National Basic Research Program (973 Project) under Grant No. UNSPECIFIED2007CB714100. Sincere thanks also to Mr. Zhiheng Zhang and Jiangpeng Gong for their assistance in performing the experiments.

References

Bazant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Mater. Struct., 16(3), 155–177.
Bazant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC Press, Boca Raton, FL.
Bazant, Z. P., and Tabbara, M. R. (1990). “Random particle models for fracture of aggregate or fiber composites.” J. Eng. Mech., 116(8), 1686–1705.
Bhattacharjee, S. S., and Léger, P. (1993). “Seismic cracking and energy dissipation in concrete gravity dams.” Earthquake Eng. Struct. Dyn., 22(11), 991–1007.
Carpinteri, A., Chiaia, B., and Ferro, G. (1995). “Size effects on nominal tensile strength of concrete structures: Multifractality of material ligaments and dimensional transition from order to disorder.” Mater. Struct., 28(6), 311–317.
Cervera, M., Oliver, J., and Manzoli, O. (1996). “A rate-dependent isotropic damage model for the seismic analysis of concrete dams.” Earthquake Eng. Struct. Dyn., 25, 987–1010.
Cho, N., Martin, C. D., and Sego, D. C. (2007). “A clumped particle model for rock.” Int. J. Rock Mech. Min. Sci., 44(7), 997–1010.
Chopra, A. K., and Chakrabarti, P. (1972). “The earthquake experience at Koyna Dam and stress in concrete gravity dams.” Earthquake Eng. Struct. Dyn., 1, 151–164.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Géotechnique, 29(1), 47–65.
Lee, I. K., White, W., and Ingles, O. G. (1983). Geotechnical engineering, Pitman, London.
Lee, J., and Fenves, G. L. (1998a). “Plastic-damage concrete model for earthquake analysis of dams.” Earthquake Eng. Struct. Dyn., 27(9), 937–956.
Lee, J., and Fenves, G. L. (1998b). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 124(8), 892–900.
Mohamed, A. R., and Hansen, W. (1999a). “Micromechanical modeling of concrete response under static loading: Part I—Model development and validation.” ACI Mater. J., 96(2), 196–203.
Mohamed, A. R., and Hansen, W. (1999b). “Micromechanical modeling of concrete response under static loading: Part II—Model predictions for shear and compressive loading.” ACI Mater. J., 96(3), 354–358.
Pekau, O. A., Feng, L. M., and Zhang, C. H. (1995). “Seismic fracture of Koyna dam: Case study.” Earthquake Eng. Struct. Dyn., 24(1), 15–33.
Romstad, K. M., Taylor, M. A., and Herrmann, L. R. (1974). “Numerical biaxial characterization for concrete.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 100(5), 935–948.
Schlangen, E., and van Mier, J. G. M. (1992). “Simple lattice model for numerical simulation of fracture of concrete materials and structures.” Mater. Struct., 25(9), 534–542.
Tang, C. A., and Zhu, W. C. (2003). Concrete damage and fracture-numerical simulate, Science Press, Beijing.
Tang, X. W., Zhang, C. H., and Shi, J. J. (2008). “A multiphase mesostructure mechanics approach to the study of the fracture-damage behavior of concrete.” Sci. China, Ser. E: Technol. Sci., 51(Suppl. II), 8–24.
van Mier, J. G. M. (1997). Fracture processes of concrete: Assessment of material parameters for fracture models, CRC Press, Boca Raton, FL.
van Mier, J. G. M., and Shi, C. (2002). “Stability issues in uniaxial tensile tests on brittle disordered materials.” Int. J. Solids Struct., 39(13–14), 3359–3372.
van Mier, J. G. M., Van, V., and Wang, T. K. (2002). “Fracture mechanisms in particle composites: Statistical aspects in lattice type analysis.” Mech. Mater., 34(11), 705–724.
Wittmann, F. H. (1983). “Structure of concrete with respect to crack formation.” Developments in civil engineering, Elsevier, New York, 43–74.
Zech, B., and Wittmann, F. H. (1978). “Probabilistic approach to describe the behavior of materials.” Nucl. Eng. Des., 48(2-3), 575–584.
Zhang, C. H., Wang, G. L., Wang, S. M., and Dong, Y. X. (2002). “Experimental tests of rolled compacted concrete and nonlinear fracture analysis of rolled compacted concrete dams.” J. Mater. Civ. Eng., 14(2), 108–115.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 23Issue 4April 2011
Pages: 402 - 413

History

Received: Mar 3, 2009
Accepted: Sep 23, 2010
Published online: Sep 27, 2010
Published in print: Apr 1, 2011

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Authors

Affiliations

Xinwei Tang
Lecturer, Dept. of Hydraulic and Hydropower Engineering, South China Univ. of Technology, Guangzhou 510641, Guangdong Province, China.
Yuande Zhou
Postdoctoral Fellow, Dept. of Civil Engineering, Hong Kong Univ., Hong Kong.
Chuhan Zhang, M.ASCE [email protected]
Professor and Academician, Chinese Academy of Sciences, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing, 100084, China (corresponding author). E-mail: [email protected]
Jianjun Shi
Professor, Dept. of Urban Construction, Nanhua Univ., Hengyang, 421001, Hunan Province, China.

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